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2 years ago

Find the value of x. Give reasons to justify your solution. b ∈ ac, d ∈ fa

Mathematics

1 answer:

tatiyna2 years ago

6 0

Answer:

x = 27

Step-by-step explanation:

∠ ABD and ∠ BDE are alternate angles and are congruent, then

∠ BDE = 72°

∠ ADB + ∠ BDE + ∠ EDF = 180° ( sum of angles on a straight line ), that is

2x + 72 + 2x = 180

4x + 72 = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

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Three consecutive odd integers have a sum of -3.What are the integers

sergiy2304 [10]

The consecutive integers are -1

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3 years ago

Find the value of x in the equation x⁄ 4 + x⁄14 + x⁄17 = 71

Morgarella [4.7K]

Hello from MrBillDoesMath!

Answer:

33769/181

Discussion:

Each term contains "x" so factoring it out gives

x( 1/4 + 1/14 + 1/17) = 71 (*)

Use common factor (17*14*4 = 952) as the denominator to combine terms:

1/4 = (17*14)/ 952 = 238/952

1/14 = (17*4)/952 = 68/952

1/17 = (14*4)/952 = 56/952

so 1/4 + 1/14 + 1/17 = (238 + 68 + 56)/ 952 = 362/952 = 181/476

Substituting in (*) gives

x ( 181/476) = 71 => multiply both sides by 476/181

x = (71 * 476)/181 => 71* 476 =33769

x = 33769/181

Thank you,

MrB

4 0

3 years ago

Please help me everytime I post this no one helps :( and I need this done soon

sasho [114]

1 I think. Tell me if that is correct

3 0

3 years ago

Read 2 more answers

3.) You deposited $5,000 in an account that pays 4% annual interest. Find the

Maurinko [17]

The balance after one year is $5200

Step-by-step explanation:

The formula to apply here is

$A=P(1+\frac{r}{n} )^{nt}$

where

A=Amount of money at the end of the period=?

P=the amount of money invested= $5000

r=rate of interest=4%=0.04

n=number of compounding per year=1

t=time in years=1

Applying the formula

$A=P(1+\frac{r}{n} )^{nt} \\\\\\A=5000(1+\frac{0.04}{1} )^{1} \\\\\\A=5000(1.04)\\\\A=5200$

A=$5200

Learn More

Compound Interest: brainly.com/question/12148233

Keywords : interest, compounded annually

#learnwithbrainly

6 0

3 years ago

Find the area of a triangle with the given description. (Round your answer to one decimal place.)

Allushta [10]

9514 1404 393

Answer:

67.0 square units

Step-by-step explanation:

The formula for the area is ...

Area = 1/2ab·sin(C)

Area = (1/2)(14)(28)sin(20°) ≈ 67.036 . . . . square units

The area of the triangle is about 67.0 square units.

6 0

3 years ago